Since PQ || BC, we know that ∆PAQ and ∆BAC are similar. Therefore, their corresponding side lengths are proportional.
Using the side proportionalities, we can set up the following equation:
PA/AQ = BP/QC
Substituting the given values, we get:
6/x = 12/26
Cross-multiplying and simplifying, we obtain:
x = 13
Therefore, the value of x is 13.
What is the value of x, given that PQ || BC?
∆PAQ : PA = 6, AQ = x
∆BAC : BP = 12 , QC = 26
1 answer